Least Common Multiple (LCM) of 73 and 75
The least common multiple (LCM) of 73 and 75 is 5475.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 73 and 75?
First, calculate the GCD of 73 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 75 = 0 remainder 73 |
| 2 | 75 ÷ 73 = 1 remainder 2 |
| 3 | 73 ÷ 2 = 36 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 174 | 33582 |
| 151 and 52 | 7852 |
| 51 and 125 | 6375 |
| 45 and 74 | 3330 |
| 85 and 83 | 7055 |